MMM LX

Image Details

This image was rendered using the Buddhabrot technique discussed last week, but with a small modification: the Mandelbrot set is related to the function \(z_{k+1} = {z_k}^2 + z_0\), whereas this image is related to the function \(z_{k+1} = \overline{z_k}^2 + z_0\), where \(\overline{z}\) is the complex conjugate of \(z\) (that is, if \(z = a+bi\), then \(\overline{z} = a-bi\)). To get this image, four separate renders were combined. The images, shown below, were created with maximum iteration cutoffs of 50, 500, 5,000, and 50,000, respectively.

Each of the four images was assigned to a color “channel” (blue , teal , yellow , and red , respectively), and the images were added together. The resulting image was adjusted slightly to create a deeper black and to make the flower “pop” a bit more.